Erhard Neher

Jordan Triple Systems by the Grid Approach

• Broschiertes Buch

Produktbeschreibung

Grids are special families of tripotents in Jordan triple systems. This research monograph presents a theory of grids including their classification and coordinization of their cover. Among the applications given are - classification of simple Jordan triple systems covered by a grid, reproving and extending most of the known classification theorems for Jordan algebras and Jordan pairs - a Jordan-theoretic interpretation of the geometry of the 27 lines on a cubic surface - structure theories for Hilbert-triples and JBW_-triples, the Jordan analogues of Hilbert-triples and W_-algebras which describe certain symmetric Banach manifolds. The notes are essentially self-contained and independent of the structure theory of Jordan algebras and Jordan pairs. They can be read by anyone with a basic knowledge in algebraic geometry or functional analysis. The book is intended to serve both as a reference for researchers in Jordan theory and as an introductory textbook for newcomers to the subject.

Produktdetails

• Lecture Notes in Mathematics 1280
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-18362-4
• 1987.
• Seitenzahl: 208
• Erscheinungstermin: 16. September 1987
• Englisch
• Abmessung: 235mm x 155mm x 12mm
• Gewicht: 322g
• ISBN-13: 9783540183624
• ISBN-10: 3540183620
• Artikelnr.: 23807042

Inhaltsangabe

Special families of compatible tripotents.- Classification of grids.- Coordinatization theorems.- Classifications.